# An object's two dimensional velocity is given by #v(t) = ( sin(pi/3t) , 2cos(pi/2t )- t )#. What is the object's rate and direction of acceleration at #t=5 #?

##### 1 Answer

Jan 4, 2018

#### Answer:

The rate of acceleration is

#### Explanation:

The acceleration is the derivative of the velocity

The acceleration is

When

The rate of acceleration is

And the direction is